Math Cumulative Exam Review

What is the value of this expression when x = -1 and y = 2? 4x^3 y^2 ______________

-16

Triangle ABC is to be dilated through point P with a scale factor of 3. How many units away from point A along ray PA will A' be located? (big image) _______________ units

10

Rectangle LMNP is rotated, using the origin as the center of rotation, to form rectangle L'M'N'P'. What is the angle of rotation? (image of graph) _____________degrees

180

Denesh is creating a triangular flower bed using three pieces of wood. The two shorter pieces of wood have lengths of 7 feet and 24 feet. How long, in feet, should the third piece of wood be for Denesh to create a right triangle? _______________

25

If c is a number with no exponent, what is the value of c in the equation below? 4^7/4^3 = a^b = c __________

256

A cylinder has a volume of 132pi cubic feet and height of 4 feet. What is the area of the base? ______________ pi square feet

33

Selena is simplifying the expression (6h^5)^2. She wrote (6h^5)^2 =boxh^10. What number should Selena put in the box? _____________

36

The pentagon on the left is a reflection of the pentagon on the right. (image of graph) The pentagon is reflected over line _________________ .

A

A shelf is designed so it will fit in a 90º corner between two walls. The shelf has dimensions, rounded to the nearest tenth, as shown. (image) [Not drawn to scale] Will the shelf fit snugly in a 90º corner?

A Yes, 2(11^2)=tsro242^2

Mackenzie needs to determine whether the rectangles are proportional. Which process could she use? Check all that apply. (image) [Not drawn to scale]

A) She could compare the ratios of the sides of the pre-image to the corresponding sides of the image in the proportion 3/1.5 = 4/2. C) She could verify that multiplying each side in the pre-image by 1/2 results in the length of the corresponding side in the image.

Which statements about the dilation are true? Check all that apply. (big image)

A) The center of dilation is point C. B) It is a reduction. E) The scale factor is 2/5.

Triangle TUV is graphed on the coordinate plane below. (image of graph) The figure is rotated 270°counterclockwise using the origin as the center of rotation. Where is point V'?

B (3, -1)

Carlos found that the length of the diagonal of his laptop monitor is tsro290. If the manufacturer rounds to the nearest whole inch, what size is the monitor as measured by the diagonal?

B 17

Which expression can be used to find the volume of the sphere? (image of purple sphere)

B V = 4/3 pir^3 = 4/3 (3.14)(9)^3

The diagram shows two different nature trails in a state park. The solid line shows the Dogwood Trail. The dashed line shows the Elm Trail. (image) Which of the following statements are true about the lengths of the trails? Check all that apply.

B) The total length of the Dogwood Trail is 24 kilometers. E) The difference between the lengths of the trails is 6 kilometers.

Which could a translation result in? Select all that apply.

B) a figure moving up D) a figure moving left E) a figure moving down

Which number is equal to 10^4?

C 10,000

What is the name of an interior angle of a triangle that is not adjacent to a given exterior angle of the triangle?

C remote interior angle

Triangle LMN is reflected across a line, L = (12, -7), and L' = (-7, 12). What is the line of reflection?

C the line y = x

A dilation produces a larger figure. Which is a possible scale factor?

D 5

Figure A below is translated 4 units left and 1 unit down and then reflected over the y-axis. (image of graph) Which best explains whether figure B is the image of figure A under the specified transformations?

D Figure B is the image of figure A. The transformations were performed correctly.

Figure RST on the graph is reflected over the y-axis creating figure R'S'T'. Figure R'S'T' is translated down 2 units and left 1 unit creating R''S''T''. (image of graph) Tyler knows that RST ~ R'S'T' because reflections produce congruent figures. He also knows that R'S'T' ~ R''S''T'' because translations produce congruent figures. What can Tyler determine based on these two statements? Check all that apply.

NOT A) RST ~ R''S"T" & C) LR ~ LS ~ LT ANSWER --> A) RST ~ R''S"T" D) LR ~ LR' ~ LR" E) TS ~ T'S' ~ T"S"

Sergei wants to prove that triangleABC is similar to triangleFGH. (image of graph) Which would help him prove that? Check all that apply.

NOT JUST A) Measure angles A and F to show they are congruent. & E) Use the grid or a ruler to show that FG/AB = GH/BC = FH/AC. ANSWER --> A) Measure angles A and F to show they are congruent. C) Use the right angle marks to show that angles C and H are congruent. E) Use the grid or a ruler to show that FG/AB = GH/BC = FH/AC.

Parallelogram JKLM and the image of JKLM are graphed on the coordinate grid below. (image of graph) Which statements describe the rotation about the origin that transformed JKLM to J'K'L'M'? Check all that apply.

NOT JUST A) counterclockwise rotation & E) 180° rotation ANSWER --> A) counterclockwise rotation B) clockwise rotation E 180° rotation

Jed needs to estimate the value of 4.32 x 10^-4/8.71 x 10^-9. Which statements should he consider? Check all that apply.

NOT JUST B)4.32 / 8.71 is approximately 0.5. & D) The number will be large because -4-(-9)=5. ANSWER--> B) 4.32 / 8.71 is approximately 0.5. D) The number will be large because -4-(-9)=5. E) He will need to rewrite the preliminary result in scientific notation.